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Rufina [12.5K]
3 years ago
13

Jane put a 12 in. tall bucket of under a leak in her sink. The bucket fills at a constant rate of 1/2 in. every 1/6 of an hour.

How many hours will it take to fill the bucket?
Mathematics
1 answer:
Nana76 [90]3 years ago
3 0
12 inch bucket fills half an inch every 10 mins

20 mins is 1 inch
 40 mins is 2 inch
60 mins is 3 inch
80 mins is 4 inch
100 mins is 5 inch
120 mins is 60 inch and 6 inch is half of 12 so 
double 120 to get 240 which is 4 hours

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You need to find the distance across a river, so you make a triangle. BC is 661 feet, m∠B=103.2° and m∠C=14.4°. Find AB.
kati45 [8]

Answer:

AB = 185.77 feet

Step-by-step explanation:

From the figure attached, in ΔABC,

m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet

We have to find the measure of side AB.

Since ∠A + ∠B + ∠C = 180°

∠A + 103.2 + 14.4 = 180

∠A + 117.6 = 180

∠A = 180 - 117.6

     = 62.4°

By applying sine rule in the given triangle ABC

\frac{AB}{sinC}=\frac{BC}{sinA}

\frac{AB}{sin14.4}=\frac{661}{sin62.4}

\frac{AB}{0.249}=\frac{661}{0.886}

AB = \frac{0.249\times661}{0.886}

     = 185.77 feet

Therefore, AB = 185.77 feet will be the answer.

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olga_2 [115]
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Question 2) The measures of the angles of a triangle
Nana76 [90]

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15 18 21 are the answer hope it's useful

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The sum of two numbers is 15. four times the smaller number is 60 less than twice the larger number. what is the larger number?
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